Suppose that y varies directly with x , y= 15 and when x=6. write a direct variation equation

Question

asked Jul 20, 2022 118k views

1 Answer

Chintan Trivedi · Answer 1 · 2022-07-24T07:26:27+0000

Answer:

y = (5)/(2)x

Explanation:

Given

Variation: Direct from y to x:

$y\ \alpha\ x$

y =15; x = 6

Required

Write the equation

$y\ \alpha\ x$

Express as an equation

y = kx

Where k is the constant of variation

Substitute
y =15; x = 6

15 = 6k

Solve for k

k = (15)/(6)

k = (5)/(2)

Substitute
k = (5)/(2) in
y = kx

y = (5)/(2)x